Help assigning land values within a buffer

I'm new to ArcGIS and having some trouble getting this done… Hopefully someone can help. Thanks in advance!

I have a layer consisting of points of bird nesting sites and I have created a multiple ring buffer around this site, with rings at 5 km and 10 km. What I need to do is assign a value of "1" the area within the 5 km inner buffer ring and a value of "2" to the 10 km outer buffer ring so I have two separate values for the buffer. Does anybody know how I can do this? I'm using version 10.2.

Cheers,

Ash